- #1
peripatein
- 880
- 0
Hi,
A fair die is rolled n times. X denotes the number of times '1' is obtained. Y denotes the number of times '6' is obtained.
I am first asked to state how X and Y are distributed (marginally) and to find their variance.
Aren't X and Y distributed Binomially, with p = 1/6 and n? I.e. isn't the Variance of each then equal to:
np(1-p) = 5n/36?
Moreover, how may I determine their marginal distribution?
I am not sure and would appreciate any feedback. Thanks!
Homework Statement
A fair die is rolled n times. X denotes the number of times '1' is obtained. Y denotes the number of times '6' is obtained.
I am first asked to state how X and Y are distributed (marginally) and to find their variance.
Homework Equations
The Attempt at a Solution
Aren't X and Y distributed Binomially, with p = 1/6 and n? I.e. isn't the Variance of each then equal to:
np(1-p) = 5n/36?
Moreover, how may I determine their marginal distribution?
I am not sure and would appreciate any feedback. Thanks!